Question

A circle of radius 6cm has two tangents AB and CD parallel each other the distance between the tangents is??

Answer 1

Answer:

12 cm

Step-by-step explanation

AB AND CD ARE TANGENTS  TO THE CIRCLE..GIVEN

LET O BE THE CENTER OF THE CIRCLE AND OC AND OA BE THE RADII

THERFORE, OC=OA=6CM....GIVEN

OAB = OCD =90 .... TANGENT THEOREM

OAB+OCD=90+90=180

THEY ARE PAIR OF INTERIOR ANGLES FORMED ON THE SAME SIDE OF THE TRANSVERSAL AC ON LINE AB AND CD.

THEREFORE AB IS PARALLEL TO CD....INTERIOR ANGLE TEST

AC = OA + OC .....A-O-C

AC = 6+6 = 12 CM.

THEREFORE THE DISTANCE BETWEEN TWO PARALLEL TANGENTS OT THE CIRCLE IS 12CM.

Answer 2

Answer:

Step-by-step explanation:

Parallel tangents have distance equal to the diameter

radius is 6

so, 6×2=12 cm